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3 years ago

What is the shaded area?

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

8 0

Answer:

44.24 cm^2

Step-by-step explanation:

The area of the circle is

A = pi r^2 = 3.14 *4^2 = 50.24

The area of the rectangle is

A =l*w = 2*3 = 6

Subtract the rectangle from the circle

50.24 - 6

44.24

Ludmilka [50]3 years ago

7 0

Answer:

44.24 cm^2

Step-by-step explanation:

You might be interested in

Two thirds times x plus 13 equals twenty two

Nataly [62]

2/3 * x +13 = 22
2/3x + 13 = 22

if u need to solve it then ....
=> 2/3x = 22 - 13
=> 2/3x = 9
=> 2x = 9*3 = 27
=> x = 27/2

Hope it helps !!!

6 0

3 years ago

Find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in

sweet-ann [11.9K]

Answer:

339.24

Step-by-step explanation:

To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2

The radius is half the diameter do r=3

3.14(3)^2 should give you about 28.27.

This is the area of the top and bottom of the cylinder.

Now, do 28.27x10=282.7 to find the height surface area.

282.7+28.27+28.27=Surface area.

SA= about 339.24

4 0

2 years ago

1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent sh

Sophie [7]

Answer:

I think f(t)=1/4t

Step-by-step explanation:

Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho

4 0

3 years ago

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

3 years ago

After a storm, 135 trees out of 180 were left standing. What is the percentage loss of the number of trees?

beks73 [17]

Answer:

Percentage loss of the number of trees is $25\%$ .

Step-by-step explanation:

Given: After a storm, $135$ trees out of $180$ were left standing.

To find: What is the percentage loss of the number of trees?

Solution:

We have,

Total number of trees $=180$

Number of trees left standing $=135$

Therefore, loss of trees $=180-135=45$

We now that $\text {Loss\%}=\frac{\text{Number of trees left}}{\text{Total number of trees}}\times 100 \%$

$\implies \text {Loss\%}=\frac{45}{180}\times 100 \%$

$\implies \text {Loss\%}=\frac{450}{18} \%$

$\implies \text {Loss\%}=25 \%$

Hence, the percentage loss of the number of trees is $25\%$ .

6 0

3 years ago